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Finding the Fourth Proportional to 161,830.66, 223,422 and 143,875.98

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Solution

The fourth proportional to 161,830.66, 223,422 and 143,875.98 is: 198,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,830.66 : 223,422 = 143,875.98 : x
  2. Step 2: Convert to fraction form
    161,830.66/223,422 = 143,875.98/x
  3. Step 3: Cross multiply
    161,830.66x = 223,422 × 143,875.98
  4. Step 4: Simplify right side
    161,830.66x = 32,145,059,203.56
  5. Step 5: Solve for x
    x = 32,145,059,203.56/161,830.66
  6. Step 6: Final answer
    x = 198,633.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.